531645120 has 392 divisors, whose sum is σ = 1978889616. Its totient is φ = 135862272.

The previous prime is 531645091. The next prime is 531645167. The reversal of 531645120 is 21546135.

531645120 is a `hidden beast` number, since 5 + 3 + 1 + 645 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 10031014 + ... + 10031066.

Almost surely, 2^531645120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 531645120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989444808).

531645120 is an abundant number, since it is smaller than the sum of its proper divisors (1447244496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

531645120 is an equidigital number, since it uses as much as digits as its factorization.

531645120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 531645120 is about 23057.4309063261. The cubic root of 531645120 is about 810.1036904294.

The spelling of 531645120 in words is "five hundred thirty-one million, six hundred forty-five thousand, one hundred twenty".